135732092850432 has 576 divisors, whose sum is σ = 441138335921920. Its totient is φ = 40912758374400.

The previous prime is 135732092850413. The next prime is 135732092850439. The reversal of 135732092850432 is 234058290237531.

135732092850432 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 320 + 9 + 285 + 0 + 4 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (135732092850439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1089621432 + ... + 1089745992.

Almost surely, 2^{135732092850432} is an apocalyptic number.

135732092850432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135732092850432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220569167960960).

135732092850432 is an abundant number, since it is smaller than the sum of its proper divisors (305406243071488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135732092850432 is a wasteful number, since it uses less digits than its factorization.

135732092850432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124847 (or 124827 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 135732092850432 in words is "one hundred thirty-five trillion, seven hundred thirty-two billion, ninety-two million, eight hundred fifty thousand, four hundred thirty-two".